Correct Option: D

To get the output zero i.e., X = 0.
Applying hit and trial method in order to choose the pair of number.
(A) For input 1 0 1 0, 1 0 1 0 output
Y₁ = 0, Y₂ = 0, Y₃ = 0, Y₄ = 0
Now, X = Y₁ Y₂ Y₃ Y₄ + Y₁ Y₂ Y₃ Y₄
or X = 0. 0. 0. 0 + 0 0 0 0 = 1 (Not required)
(B) For input 0 1 0 1, 0 1 0 1 output
Y₁ = 0, Y₂ = 0, Y₃ = 0, Y₄ = 0
Now, X = Y₁ Y₂ Y₃ Y₄ + Y₁ Y₂ Y₃ Y₄
or X = 0. 0. 0. 0 + 0 0 0 0 = 1 (Not required)
(C) For input 0 0 1 0, 0 0 1 0 output
Y₁ = 0, Y₂ = 0, Y₃ = 0, Y₄ = 0
Now, X = Y₁ Y₂ Y₃ Y₄ + Y₁ Y₂ Y₃ Y₄
or X = 0. 0. 0. 0 + 0 0 0 0 = 1 (Not required)
(D) For input 1 0 1 0, 1 0 1 1 output
Y₁ = 0, Y₂ = 0, Y₃ = 0, Y₄ = 0
Now, X = Y₁ Y₂ Y₃ Y₄ + Y₁ Y₂ Y₃ Y₄
or X = 0. 0. 0. 0 + 0 0 0 1 = 0 + 0 = 0
This is required condition. Hence alternative (D) is the correct choice.